Quantitative Aptitude
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Question 11
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has ₹ 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Correct Answer: Option C
Let savings in N.S.C and P.P.F. be ₹ x and ₹ (150000 - x) respectively. Then,
| 1 | x = | 1 | (150000 - x) |
| 3 | 2 |
 |
x | + | x | = 75000 |
| 3 | 2 |
|
5x | = 75000 |
| 6 |
| x = |
75000 x 6 | = 90000 |
| 5 |
Savings in Public Provident Fund = ₹ (150000 - 90000) = ₹ 60000
Question 12
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
Correct Answer: Option C
Let the capacity of 1 bucket = x.
Then, the capacity of tank = 25x.
| New capacity of bucket = | 2 | x |
| 5 |
| Required number of buckets = |
25x |
| (2x/5) |
| = |  25x |
x | 5 |  |
| 2x |
| = | 125 |
| 2 |
= 62.5
Question 13
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Correct Answer: Option A
Let the total number of shots be x. Then,
| Shots fired by A = | 5 | x |
| 8 |
| Shots fired by B = | 3 | x |
| 8 |
| Killing shots by A = | 1 | of | 5 | x | = | 5 | x |
| 3 | 8 | 24 |
| Shots missed by B = | 1 | of | 3 | x | = | 3 | x |
| 2 | 8 | 16 |
| |
3x | = 27 or x = | |
27 x 16 | |
= 144. |
| 16 | 3 |
| Birds killed by A = | 5x | = | |
5 | x 144 | |
= 30. |
| 24 | 24 |
Question 14
A sum of ₹ 1360 has been divided among A, B and C such that A gets 
of what B gets and B gets 
of what C gets. B's share is:
Correct Answer: Option C
Let C's share = ₹ x
| Then, B's share = ₹ | x |
| 4 |
| A's share = ₹ | |
2 | x | x | |
= ₹ | x |
| 3 | 4 | 6 |
|
x | + | x | + x = 1360 |
| 6 | 4 |
|
17x | = 1360 |
| 12 |
| x = |
1360 x 12 | = ₹ 960 |
| 17 |
| Hence, B's share = ₹ | |
960 | |
= ₹ 240. |
| 4 |
Question 15
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Correct Answer: Option A
| Original share of 1 person = | 1 |
| 8 |
| New share of 1 person = | 1 |
| 7 |
| Increase = | |
1 | - | 1 | |
= | 1 |
| 7 | 8 | 56 |
| Required fraction = |
(1/56) | = | |
1 | x | 8 | |
= | 1 |
| (1/8) | 56 | 1 | 7 |